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222780240 = 24335176067
BaseRepresentation
bin11010100011101…
…01101101010000
3120112012102001000
431101311231100
5424012431430
634034542000
75343413034
oct1521655520
9515172030
10222780240
11104832101
1262737900
1337202037
14218321c4
1514858e60
hexd475b50

222780240 has 160 divisors (see below), whose sum is σ = 812626560. Its totient is φ = 55904256.

The previous prime is 222780227. The next prime is 222780241. The reversal of 222780240 is 42087222.

222780240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222780241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33687 + ... + 39753.

It is an arithmetic number, because the mean of its divisors is an integer number (5078916).

Almost surely, 2222780240 is an apocalyptic number.

222780240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406313280).

222780240 is an abundant number, since it is smaller than the sum of its proper divisors (589846320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222780240 is a wasteful number, since it uses less digits than its factorization.

222780240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 222780240 is about 14925.8246003362. The cubic root of 222780240 is about 606.2134332995.

The spelling of 222780240 in words is "two hundred twenty-two million, seven hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6067 6120 7344 9180 12134 12240 18201 18360 24268 30335 36402 36720 48536 54603 60670 72804 91005 97072 103139 109206 121340 145608 163809 182010 206278 218412 242680 273015 291216 309417 327618 364020 412556 436824 485360 515695 546030 618834 655236 728040 819045 825112 873648 928251 1031390 1092060 1237668 1310472 1456080 1547085 1638090 1650224 1856502 2062780 2184120 2475336 2620944 2784753 3094170 3276180 3713004 4125560 4368240 4641255 4950672 5569506 6188340 6552360 7426008 8251120 9282510 11139012 12376680 13104720 13923765 14852016 18565020 22278024 24753360 27847530 37130040 44556048 55695060 74260080 111390120 222780240